51601116 has 72 divisors (see below), whose sum is σ = 141367296. Its totient is φ = 14605920.

The previous prime is 51601097. The next prime is 51601117. The reversal of 51601116 is 61110615.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 51601092 and 51601101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51601117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74331 + ... + 75021.

Almost surely, 2^51601116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51601116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70683648).

51601116 is an abundant number, since it is smaller than the sum of its proper divisors (89766180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51601116 is a wasteful number, since it uses less digits than its factorization.

51601116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 51601116 is about 7183.3916780307. The cubic root of 51601116 is about 372.2942809561.

The spelling of 51601116 in words is "fifty-one million, six hundred one thousand, one hundred sixteen".